Hysteresis

Definition (canon)

Recovery does not retrace failure; the system must be over-corrected past the opposite fold.

The architecture adds a second clause: the required over-correction grows as the node becomes more switch-like. A gentle, graded node can be nudged back. A node steepened toward a step has to be driven well past where it broke.

In plain words

Undoing the cause does not undo the effect. To get back you have to push past where you started.

It is not

• Tested by withdrawal. Withdrawal runs the outbound direction again. Only the re-challenge leg asks the question: does restoring the original input restore the original state?
• Something a queue shows. A queue returns no hysteresis.

What would defeat it

• Follows from the definition. A node meeting the three bifurcation conditions whose recovery retraces its failure path exactly.
• Canon. The capacity ⇔ hysteresis pairing is asserted and not yet tested. The negative control (DES1 via oxygen) is assigned; the positive arm is not.